A mass of 2 kg is attached to a spring of force constant 200N/m . Find the time period?
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Answer:
The equilibrium stretching is given by equating weight with spring force.
∴0.2×10=200×x
x=0.01m=1cm
When taken back to unstretched state, the sum of spring force and weight together is converted into spring force.
∴200×0.01+0.2×10=200×x
x=0.02m=2cm
The frequency is given by
f=
2π
1
m
k
=
2π
1
0.2
200
≈5.05Hz
Since frequency is independent of acceleration due to gravity, it will be same on moon. Hence, all options, A,B.C,D are correct.
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